225.97 is what percent of 3746 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3746 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 3746, so we can write it down as 100%=3746.
4. We know, that x% equals 225.97 of the output value, so we can write it down as x%=225.97.
5. Now we have two simple equations:
1) 100%=3746
2) x%=225.97
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3746/225.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.97 is what percent of 3746

100%/x%=3746/225.97
(100/x)*x=(3746/225.97)*x       - we multiply both sides of the equation by x
100=16.577421781652*x       - we divide both sides of the equation by (16.577421781652) to get x
100/16.577421781652=x
6.0323011211959=x
x=6.0323011211959

now we have:
225.97 is 6.0323011211959% of 3746